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The Quarterly Journal of Mechanics and Applied Mathematics 1958 11(3):274-289; doi:10.1093/qjmam/11.3.274
© 1958 by Oxford University Press
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THREE-DIMENSIONAL STEADY, RADIAL FLOW OF VISCOUS, HEAT-CONDUCTING, COMPRESSIBLE FLUID

AKIRA SAKURAI

( Department of Applied Mathematics, The Weizmann Institute of Science Israel {dagger} )

The case of flow at large Reynolds number is investigated, special attention being paid to the problem of finding deviations from the well-known inviscid flow. The fundamental equations in this case are reduced to a single second-order differential equation of the singular perturbation type, which is quite similar to the corresponding equation obtained in the case of two-dimensional radial flow. Utilizing this similarity and the knowledge obtained from the solution of the two-dimensional case as a guide, the solutions which contain shock waves are studied in detail.



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